Margaret Thatcher sent troops to a war in The Falklands after the islands were occupied by Argentinian troops in 1982. The female president of Argentina until 2015, Cristina Fernández de Kirchner, did her very best to start up a second Falklands War. Many British female MPs voted for the Iraq war in 2003. There was also a Celtic woman called Boudicca (sometimes also known ore romantically as Boadicea, who was famously bloodthirsty. Admittedly the Romans had apparently raped and killed both of her daughters, and they did eventually defeat her, but she had fun destroying some of them along the way.
Women have been an integral part of the British Armed forces for decades and now are routinely seen in combat roles. They hold the highest ranks and while they are a smaller proportion of the forces to men they are a significant and growing minority. While Theresa May, our current female Prime Minister, shows no sign of reversing the current trend of massive reductions in the armed forces it was male Prime Ministers who got it started. Britain no longer has an army, it has a Defence Force, due to how depleted it has been.
The idea that a Gynarchy would be able to cure all the evils of society is as misplaced as that of a Patriarchy being any better.
I am submissive to my Wife. I see plenty of examples of women you couldn't get me to be submissive to if they were the last female on the planet.